Just thought I would give some feedback on Nassau Grocer delivery service. I made an order online before we left the UK to deliver to our apartment at Harborside Atlantis the afternoon we arrived. The groceries arrived on time and the order supplied us with all the basics we needed without having to waste the first morning of our vacation slogging off to the supermarket.
The delivery costs $15.99 and the food prices, as far as I could tell, were about the same as the supermarket prices.
The choice is limited, but all the essentials (milk, juice, bread, bagels, butter, coffee, hotdogs, sodas,water etc) were available. Some items were not available to order on line (sugar, pasta sauce, dry pasta, ham), so I emailed and they sent me links to be able to add them to the order.
A couple of items were out of stock when the order was delivered, but my card was promptly refunded. Any extras we needed we picked up from the little grocers opposite the Marina Village.
I would highly recommend nassaugrocer.com - not perfect if you plan to eat all your meals in, but if you want breakfast and basics supplies I think it is a much better option than the supermarket trip.